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Finding the Fourth Proportional to 11,286.64, 16,929.32 and 3,078

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Solution

The fourth proportional to 11,286.64, 16,929.32 and 3,078 is: 4,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.64 : 16,929.32 = 3,078 : x
  2. Step 2: Convert to fraction form
    11,286.64/16,929.32 = 3,078/x
  3. Step 3: Cross multiply
    11,286.64x = 16,929.32 × 3,078
  4. Step 4: Simplify right side
    11,286.64x = 52,108,446.96
  5. Step 5: Solve for x
    x = 52,108,446.96/11,286.64
  6. Step 6: Final answer
    x = 4,616.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.